Isolated singularities in steady state fluid flow
Abstract
New results concerning isolated singularities for classical and distribution solutions of the nonlinear stationary NavierStokes equations are established. Also new results are established for the equations of Stokes and Oseen. Some counterexamples are given. In particular, it is shown that the nonlinear result for distribution solutions in dimension 2 is, in a certain sense, a best possible result.
 Publication:

SIAM Journal of Mathematical Analysis
 Pub Date:
 August 1976
 Bibcode:
 1976SJMA....7..577S
 Keywords:

 Equilibrium Flow;
 Incompressible Flow;
 NavierStokes Equation;
 Periodic Functions;
 Singularity (Mathematics);
 Viscous Flow;
 Harmonic Analysis;
 Hydrodynamic Equations;
 Oseen Approximation;
 Series (Mathematics);
 Spherical Harmonics;
 Steady Flow;
 Stokes Law (Fluid Mechanics);
 Trigonometric Functions;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer